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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.06624 |
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| _version_ | 1866914146157592576 |
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| author | Patra, Soumyadip Prakash, Jitendra Paudel, Aaditya Bierhorst, Peter |
| author_facet | Patra, Soumyadip Prakash, Jitendra Paudel, Aaditya Bierhorst, Peter |
| contents | In this paper, we highlight how any Bell inequality for a configuration involving $n$ parties each performing one of $m$ binary-outcome measurements has a canonical form that is no-signalling-projection invariant. Specifically, the $L^2$-projection of weakly signalling data onto the no-signalling polytope leaves the violation of this canonical Bell inequality unchanged. Our methods allow us to derive a general closed formula for the projection and present a substantially more computationally simple procedure for its evaluation. We also show this can be generalised to non-standard projections of potential interest for certain applications. No-signalling projections serve as a preliminary step before undertaking any device-independent application involving Bell experiment data, such as hypothesis testing against local realism, random number generation and entanglement detection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | No-signalling-projection-invariant Bell inequalities Patra, Soumyadip Prakash, Jitendra Paudel, Aaditya Bierhorst, Peter Quantum Physics In this paper, we highlight how any Bell inequality for a configuration involving $n$ parties each performing one of $m$ binary-outcome measurements has a canonical form that is no-signalling-projection invariant. Specifically, the $L^2$-projection of weakly signalling data onto the no-signalling polytope leaves the violation of this canonical Bell inequality unchanged. Our methods allow us to derive a general closed formula for the projection and present a substantially more computationally simple procedure for its evaluation. We also show this can be generalised to non-standard projections of potential interest for certain applications. No-signalling projections serve as a preliminary step before undertaking any device-independent application involving Bell experiment data, such as hypothesis testing against local realism, random number generation and entanglement detection. |
| title | No-signalling-projection-invariant Bell inequalities |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.06624 |